Scott P. Raffone
Across the world approximately one thousand years after the work of Euclid, Al-Khwarizmi wrote a book The Calculations By Completion and Balancing Around 800 Al-Khwarizmi studies at the House of Wisdom located in current Baghdad His work led to great understandings in mathematics, astronomy and Geography He developed trigonometric tables containing the sine function His work also led him to the concept of differentiation in Calculus His work in Geography led to the first map of the known world. He was able to adopt the number zero from readings of Hindu and Greek Mathematicians
The Calculations By Completion and Balancing changed algebra to date The first half of Al-Khwarizmi's book discussed linear and quadratic terms The second part of his book focused on the business and applications of his work He gave examples of linear and quadratic equations into six standard forms.
1.
|
Squares equal to roots10x
2
= 20x
|
2.
|
Squares equal to numbers 10x
2
= 25
|
3.
|
Roots equal to numbers 10x = 20
|
4.
|
Squares and roots equal to numbers x
2
+ 10x = 39
|
5.
|
Squares and numbers equal to roots 10x
2
+ 39 = 10x
|
6.
|
Roots and numbers equal to squares 10x + 39 = x
2
|
All of his work was done spoken and not in the form that we have used in bold above to help us understand the wording. Because he was able to teach algebra in such a basic model, Al-Khwarizmi is labeled "the father of Algebra." This led to more people studying algebra around the world.